Find the area of region bounded by the curve y=x²-2x and y=-x²+4

Q: Find the area of the region in the first quadrant bounded by the line y=2​x x=4​ y=2/x and the​…

A: The given region is bounded in first quadrant by following curve: y=2xx=4y=2x and the x-axis.…

Q: Find the area of the region bounded by the line y=x, x=2 and by the curve y= (1/x2)

A: Area of the region shaded below÷

Q: Find the area of ​​the region bounded by the y=x3 and y=2x-x2 curves.

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Q: Find the area of the region bounded by the curves: a) y=2x and y = 8 from x =-2 to x=2

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: What is the area of the region enclosed by the curve y=x(x-1) (x-2) and the x-axis?

A: Given:            Curve: y=xx-1x-2             Area =∫01xx-1x-2 dx+-1∫12xx-1x-2 dx…

Q: Find the area of the region bounded by the curves.  y = 8x2 and y = 1x

A: To find: The area of the region between the curve y=8x2 and y=x. Formula used: The area between the…

Q: Determine the area of the region bounded by the curve y = x³ – x² – 2x, and а. the x-axis b. the…

A: Note: As you asked only part (b) so, I answered here only part (b).

Q: Find the area of the region bounded by y=x^2, the x-axis and the line x=2.

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Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x - y = 12

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Q: The area of the region bounded by the curves y=x and y= 20-x² is

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Q: The area of the region bounded by the curves y =x and y= 20-x² is

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Q: The area of the region bounded by the two curves y = x“ and y = 4 is

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4.

A: To find the area

Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

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Q: Find the area of the region that lies under the curve y = 4x-x over the interval 0<x<4. y = 4x - x

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Q: Find the area bounded by the region y = 2x + 2 and the lines y = 1, y = 2

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Q: Find the area of the region between the line y=2x and the curve %3D y =x² +x-2.

A: Given:          y=2x and the curve y=x2+x−2

Q: Find the area of the propeller-shaped region enclosed by the curve x - y3 = 0 and the line x - y =…

A: x-y3=0  &amp;  x-y=0⇒y3=x  &amp;  y=x⇒y=x13  &amp;  y=x Now the diagrammatic representation of the…

Q: Find the area of the region bounded by the curves y = 2x^3 − x^2 − 5x and y = −x^2 + 3x.

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Q: Find the area of the region bounded by y = ¾(x + 2), x = 2 and the x-axis.

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Q: Find the area of the region bounded by the curves: y = 2x and y = x² – 4x

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Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²) %3D

A: The curve is given as , x2=y41-y2 The graph of the curve is

Q: Find the area of the region bounded by the curves y = x²-2x and y= - x.

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Q: Find the area of the region under the curve y = 6x² + 4x + 5 from x = -1 to x = 2.

A: Solve the following

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: The area of the region bounded by the curve y= x3−3x2−x+3 and y=0 is

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Q: Find the area of the region bounded by the curves. y = x² and y = -x² + 4x

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Q: Find the area of the region bounded by the given curves. y = 3x2 In(x), y = 12 In(x)

A: Find the area bounded by these curves.

Q: Find the area of the region bounded by the curves y = -x² – 3x + 4 and y = x2 – 3x – 4.

A: We first sketch the region using a graphing calculator y=-x2-3x+4 (violet) y=x2-3x-4 (black)

Q: Find the area of the finite region bounded by the curve y = 12 + x - x2 and the line: y = x + 3.

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Q: Find the area of the region bounded by the curves y = x2 -4x and x + y = 0.

A: We will use double integration to solve this

Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

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Q: Find the area of the region between the curves y=x(2−x) and y=2 from x=0 to x=2

A: To find the area between the curves

Q: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis.

A: First draw the region defined by these curves. If the region is bounded, then use the area under the…

Q: Find the area of the region bounded by the curves y = x2 and x2 + y = 4x.

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Q: Find the area of the region bounded by the curves x = y + 3 and y = x – 1

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Q: Find the area of the region bounded by the curves x + y = 0 and x = y² + 3y.

A: NOTE: Refresh your page if you can't see any equations. . given equations are so the first…

Q: Find the area bounded by the curve 2y2+2y-x-2=0 and the line x= 2y

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Q: Find the area of the region bounded by the curves y = x 2 − 3x + 5 and y = 3x + 5.

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Q: y = 2x 2 − 8x + 12 and y = −2x + 12.

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Q: Find the area of the region bounded by the curve y=x^2-3x the x-axis and the lines x = 1 and x = 2.

A: This question is based on application of integration.

Q: Find the area of the region bounded by the curve y=1. and the x-axis.

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Q: Find the area of the region bounded by the curves y= x2 x3−3x and y= 1 x3−3x on the interval…

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Q: Find the area of the region bounded by the given curves. y = 6x2 In(x), y = 24 In(x)

A: Graph them using a graphing calculator. The graphs meet at x=1 and x=2 Blue curve is y=24ln(x) Red…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 - x), y = 0

A: Sketch the area of the region bounded by the graphs of the equations y=x4-x and  y=0 as shown below.…

Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

Q: Find the area of the region bounded by the curves y = x +2x and y=-x² +4.

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